Year: 2024
Type: article
Abstract: We consider a deformation of a family of hyperelliptic refined spectral curves and investigate how deformation effects appear in the hyperelliptic refined topological recursion as well as the $$\mathcal {Q}$$ Q -top recursion. We then show a coincidence between a deformation condition and a quantisation condition in terms of the $$\mathcal {Q}$$ Q -top recursion on a degenerate elliptic curve. We also discuss a relation to the corresponding Nekrasov–Shatashivili effective twisted superpotential.
Source: Annales Henri Poincaré
Author: Kento Osuga
Institution: The University of Tokyo
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
Awards: Topological recursion, quantum curves and resurgence theory, Refinement and q-deformation of topological recursion and their applications, Fusion of Birational Geometry and Theory of Periods;Deepening and Exploration of Mirror Symmetry Mathematics, G5059429930, Super Quantum Curves and Super Voros Coefficients, Studies on exact WKB analysis, topological recursion and Painleve equation
OpenAlex ID: W4391991670